Unit 1 Basics of Geometry

5.0(1)
learnLearn
examPractice Test
spaced repetitionSpaced Repetition
heart puzzleMatch
flashcardsFlashcards
Card Sorting

1/70

encourage image

There's no tags or description

Looks like no tags are added yet.

Study Analytics
Name
Mastery
Learn
Test
Matching
Spaced

No study sessions yet.

71 Terms

1
New cards

Midpoint Property

If (x1, y1) and (x2, y2) are the coordinates of the endpoints of a segment, then the coordinates of the midpoint are: (X plus X divided by 2, and, Y plus Y divided by 2) Labeled as a coordinate pair (X, Y).

<p>If (x1, y1) and (x2, y2) are the coordinates of the endpoints of a segment, then the coordinates of the midpoint are: (X plus X divided by 2, and, Y plus Y divided by 2) Labeled as a coordinate pair (X, Y).</p>
2
New cards

Undefined terms of Geometry

point, line, plane

<p>point, line, plane</p>
3
New cards

Collinear Points

points that lie on the same line

<p>points that lie on the same line</p>
4
New cards

Coplanar Points

points that lie on the same plane

<p>points that lie on the same plane</p>
5
New cards

Line Segment

consists of two points called the endpoints and all the points in between them that are collinear with the two points

<p>consists of two points called the endpoints and all the points in between them that are collinear with the two points</p>
6
New cards

Congruent segments

segments that have the same measure or length

<p>segments that have the same measure or length</p>
7
New cards

Midpoint of a segment

the point on the segment that is same distance from both endpoints, midpoint bisects the segment

<p>the point on the segment that is same distance from both endpoints, midpoint bisects the segment</p>
8
New cards

Ray

Portion of a line that contains all the points on the line that are on the same side of the first letter as the second letter

<p>Portion of a line that contains all the points on the line that are on the same side of the first letter as the second letter</p>
9
New cards

Angle

Two noncollinear rays having a common endpoint.

<p>Two noncollinear rays having a common endpoint.</p>
10
New cards

Adjacent Angles

two angles that share a common vertex and side, but have no common interior points

<p>two angles that share a common vertex and side, but have no common interior points</p>
11
New cards
Measure of an angle

the smallest amount of rotation about the vertex from one ray to the other.

12
New cards
Protractor
a geometry tool used to measure angles
13
New cards

Congruent Angles

two angles that have the same measure

<p>two angles that have the same measure</p>
14
New cards

Angle Bisector

a ray that contains the vertex and divides the angle into two congruent angles

<p>a ray that contains the vertex and divides the angle into two congruent angles</p>
15
New cards
Counterexample
an example that proves that a statement is false
16
New cards

Parallel Lines

lines in the same plane that never intersect

<p>lines in the same plane that never intersect</p>
17
New cards

Perpendicular Lines

lines that intersect at right angles (90 degrees)

<p>lines that intersect at right angles (90 degrees)</p>
18
New cards

Skew Lines

lines that are not in the same plane and do not intersect

<p>lines that are not in the same plane and do not intersect</p>
19
New cards
Acute Angle
an angle that measures greater than 0 degrees and less than 90 degrees
20
New cards
Right Angle
an angle that measures 90 degrees
21
New cards
Obtuse Angle
An angle that measures more than 90 degrees but less than 180 degrees
22
New cards
Straight Angle
an angle that measures 180 degrees
23
New cards

Linear Pair

two adjacent angles whose noncommon sides are opposite rays

<p>two adjacent angles whose noncommon sides are opposite rays</p>
24
New cards

Vertical Angles

angles formed by 2 intersecting lines; they share a common vertex not a side

<p>angles formed by 2 intersecting lines; they share a common vertex not a side</p>
25
New cards
Complementary Angles
two angles whose measures have a sum of 90 degrees
26
New cards
supplementary angles
two angles whose measures have a sum of 180 degrees
27
New cards
Polygon
a closed figure in a plane, formed by connecting line segments endpoint to endpoint with each segment intersecting exactly two others
28
New cards
Three Sided Polygon
Triangle
29
New cards
Four Sided Polygon
quadrilateral
30
New cards
Five Sided Polygon
pentagon
31
New cards
Six Sided Polygon
hexagon
32
New cards
Seven Sided Polygon
heptagon
33
New cards
Eight Sided Polygon
octagon
34
New cards
Nine Sided Polygon
nonagon
35
New cards
Ten Sided Polygon
decagon
36
New cards
Eleven Sided Polygon
undecagon
37
New cards
Twelve Sided Polygon
dodecagon
38
New cards
diagonal of a polygon
a line segment connecting two nonconsecutive vertices of a polygon
39
New cards
convex polygon
a polygon with no diagonal outside the polygon
40
New cards
Concave Polygon
A polygon that has at least one diagonal with points outside the polygon.
41
New cards

congruent polygons

two polygons whose corresponding sides and angles are congruent

<p>two polygons whose corresponding sides and angles are congruent</p>
42
New cards

equilateral polygon

a polygon in which all sides are congruent

<p>a polygon in which all sides are congruent</p>
43
New cards
equiangular polygon
A polygon with all angles have same measure
44
New cards
Regular Polygon
a polygon that is both equilateral and equiangular
45
New cards
Right Triangle
a triangle that has one right angle
46
New cards
acute triangle
A triangle with 3 acute angles
47
New cards
obtuse triangle
a triangle with one obtuse angle
48
New cards
scalene triangle
a triangle with no congruent sides
49
New cards
equilateral triangle
A triangle with three congruent sides
50
New cards
Isosceles Triangle
a triangle with at least two congruent sides
51
New cards
<p>Trapezoid</p>

Trapezoid

A quadrilateral with exactly one pair of parallel sides

52
New cards
<p>Kite</p>

Kite

a quadrilateral with two distinct pairs of consecutive congruent sides

53
New cards
<p>Parallelogram</p>

Parallelogram

A quadrilateral with two pairs of parallel sides

54
New cards
<p>Rhombus</p>

Rhombus

an equilateral parallelogram (all congruent sides, 2 pairs of parallel sides)

55
New cards
<p>Rectangle</p>

Rectangle

an equiangular parallelogram (all congruent angles, 2 pairs of parallel sides)

56
New cards
<p>Square</p>

Square

an equilateral rectangle or an equiangular rhombus or a regular quadrilateral

57
New cards
Circle
The set of all points in a plane that are the same distance from a given point called the center
58
New cards
Radius
The distance from the center of a circle to any point on the edge of a circle
The distance from the center of a circle to any point on the edge of a circle
59
New cards
Diameter
A line segment that passes through the center of a circle and has endpoints on the circle
A line segment that passes through the center of a circle and has endpoints on the circle
60
New cards
Secant
A line that intersects a circle in two points
A line that intersects a circle in two points
61
New cards
chord
A segment whose endpoints lie on a circle
A segment whose endpoints lie on a circle
62
New cards
Tangent
A line in the plane of a circle that intersects the circle in exactly one point.
A line in the plane of a circle that intersects the circle in exactly one point.
63
New cards
point of tangency
the point where a circle and a tangent intersect
the point where a circle and a tangent intersect
64
New cards
congruent circles
Two or more circles that have the same radius
Two or more circles that have the same radius
65
New cards
concentric circles
2 or more coplanar circles with the same center
2 or more coplanar circles with the same center
66
New cards
arc of a circle
two points on the circle and the continuous part of the circle between the two points
two points on the circle and the continuous part of the circle between the two points
67
New cards
semicircle
an arc with endpoints that are the endpoints of a diameter
an arc with endpoints that are the endpoints of a diameter
68
New cards
minor arc
an arc that is less than a semicircle
an arc that is less than a semicircle
69
New cards
Major Arc
an arc that is greater than a semicircle
an arc that is greater than a semicircle
70
New cards
Central Angle
an angle with its vertex at the center of a circle
an angle with its vertex at the center of a circle
71
New cards
arc measure
the measure of the corresponding central angle
the measure of the corresponding central angle